350915825664 has 728 divisors, whose sum is σ = 1155121293312. Its totient is φ = 106062151680.

The previous prime is 350915825629. The next prime is 350915825693. The reversal of 350915825664 is 466528519053.

350915825664 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 1 + 582 + 56 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 350915825664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1573613457 + ... + 1573613679.

Almost surely, 2^350915825664 is an apocalyptic number.

350915825664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350915825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577560646656).

350915825664 is an abundant number, since it is smaller than the sum of its proper divisors (804205467648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

350915825664 is an equidigital number, since it uses as much as digits as its factorization.

350915825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 350915825664 in words is "three hundred fifty billion, nine hundred fifteen million, eight hundred twenty-five thousand, six hundred sixty-four".